 | William Frothingham Bradbury - Geometry - 1880 - 260 pages
...furnishes another proof of the Pythagorean proposition (66). THEOREM XL. 91 i Any figure described on the hypothenuse of a right triangle is equivalent to the sum of the similar figures of which the other sides of the triangle are homologous sides. Let P represent any... | |
 | Pupil teachers - 1880 - 1486 pages
...12 yards high ? 48.Prove that if the square described upon one of the sides of a triangle be equal to the sum of the squares described upon the other two sides of it, the angle contained by these two sides is a right angle. D 咀 ㏄ 祉 血 卑 l ・ The 打... | |
 | John Robertson (LL.D., of Upton Park sch.) - Examinations - 1882 - 152 pages
...? Give an instance of each. 2. If the square described upon one of the sides of a triangle be equal to the sum of the squares described upon the other two sides of it, the angle contained by these two sides is a right angle. 3. The opposite angles of any quadrilateral... | |
 | George Albert Wentworth - Geometry, Modern - 1879 - 262 pages
...square are two incommensurable lines. ANOTHER DEMONSTRATION. 333. The square described on the hypotenuse of a right triangle is equivalent to the sum of the squares on the other two sides. G U _ *3+t DLE Let ABC be a right A, having the right angle BAG. We are to... | |
 | Aaron Schuyler - Psychology - 1882 - 496 pages
...above, take the case of the mathematician who in proving the proposition, The square of the hypotenuse of a right triangle is equivalent to the sum of the squares of the other sides, draws a particular right triangle and constructs a square on each of the three... | |
 | Public schools - 1884 - 634 pages
...Given two sides and included angle : Construct a parallelogram. 6. Prove that the square described on the hypothenuse of a right triangle is equivalent to the sum of the squares on the other two sides. 7. Prove that if two triangles have two sides of the one equal respectively... | |
 | Engineering - 1884 - 616 pages
...have OC=x,, AC=y, ; =*,, BD=y,. -X -Y D HrX Then, by the theorem that " the square on the hypotenuse of a right triangle is equivalent to the sum of the squares on the other two sides, '' we have, To ascertain if this formula is general or true, no matter what... | |
 | W. Cain - 1884 - 156 pages
...we have OC=x,, AC=y, ; =z2, BD=2/2. 4-Y -Y Then, by the theorem that " the square on the hypotenuse of a right triangle is> equivalent to the sum of the squares on the other two sides," we have, - To ascertain if this formula is general or true, no matter what... | |
 | William Cain - Algebra - 1884 - 144 pages
...we have OC = xl5 AC=y, ; —X -Y A4E D -tX Then, by the theorem that " the square on the hypotenuse of a right triangle is equivalent to the sum of the squares on the other two sides," we have, To ascertain if this formula is general or true, no matter what the... | |
 | Harvard University. Class of 1865 - 1885 - 206 pages
...candidate had already submitted, 3. Prove that the square of the hypothenuse of a right triangle is equal to the sum of the squares described upon the other two sides, and tell how this proportion received the name of the " pons asinorum." 4. Why is not the convex surface... | |
| |
The square described upon the hypothenuse of a right triangle is equivalent to the sum of the squares described upon the other two sides. 
